Table 3 Parameters of the kinetic models for MB dye adsorption onto 50 mg AC500/NZ at 25 °C and pH 7.

From: Activated carbon derived from sugarcane and modified with natural zeolite for efficient adsorption of methylene blue dye: experimentally and theoretically approaches

Dye concentration (ppm)

5

15

20

25

30

First-order kinetic model

K2

0.0829

0.0686

0.0605

0.0667

0.0783

qe

1.6

2.8

3.2

4.2

4.9

R2

0.8763

0.8392

0.858

0.902

0.8316

qe exp

9.92

29.10

37.20

44.25

51

Second-order kinetic model

 

K3

0.0891

0.0187

0.0126

0.0054

0.0036

qe

10.10

29.58

37.73

46.29

54.64

R2

0.9996

0.9972

0.9965

0.9939

0.989

qe exp

9.92

29.10

37.20

44.25

51

Elovich kinetic model

 

β (g/mg)

1.5278

0.4219

0.3076

0.1472

0.1146

α (mg/min)

53,234.23

8506.14

4629.45

83.88

55.05

R2

0.9842

0.9156

0.9552

0.9851

0.9697

Intraparticle diffusion kinetic model

 

K1

6.27

5.23

3.7

2.93

0.97

I

11.75

11.94

14.71

12.07

4.55

R2

0.8905

0.8452

0.6593

0.6298

0.5706

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